12.2 More Probability

Size: px
Start display at page:

Download "12.2 More Probability"

Transcription

1 NAME: 12.2 More Probability Backwards Probability: There's a 1 in 5 chance of picking a blue marble out of a bag. If there's 20 marbles in the bag, how many blue marbles would you expect? Homer works at McDonalds has found that there is about one customer out of 80 that complains about something. If Homer works 6 hours and serves about 135 customers each hour, how many complaints should he expect on his next shift? The probability of passing this Mastery Check on the first attempt is 84%. If Sully has 125 students, about how many students can he expect to pass the MC on the first attempt? What's the probability of rolling a 2 and flipping a tail? Multiplication Principle of Probability What's the probability of rolling a 5 or flipping a tail? Addition Principle of Probability

2 What's the probability of picking a heart and rolling a 6? What's the probability of picking a queen or rolling a 6? What's the probability of drawing two aces from a deck of cards? A jar contains 5 green jelly beans, 6 blue jelly beans and 10 white jelly beans. What is the probability Moe picks 2 green jelly beans out without putting the first one back? You Try: Summary: 12.2 Practice Problems Directions 1-4: Find the following using backwards probability. 1) About 2 in 7 people win during the McDonalds Monopoly contest. If a person buys two meals everyday for the duration of the 60 day contest about how many prizes will they win? 2) 97% of all Unit tests are better than 70% and do not need to be retaken. If Sully gives 1500 Unit tests this year about how many of those will need to be retaken? 3) There s 3 out of 5 chance that when you pick a marble out of a bag it will be red. If there 45 marbles in the bag, about how many of the marbles would you expect to be red? 4) There s a 35% chance of rain for each day in the month of June in Germany. There are 30 days in June, about how many days should you expect it to rain for the month?

3 Directions: Find the given probability 5) What s the probability of rolling a 5 or flipping a coin and it landing on tails? 6) What s the probability of rolling a 5 and flipping a coin and it landing on tails? 7)What s the probability of picking two cards such that the first is a heart and the second is a 5 when you put your original card back in the deck? 8) What s the probability of picking two cards such that the first is a heart and the second is a diamond without putting the original card back in the deck? 9) What s the probability of picking a heart or a 5 from a deck? 10) What s the probability of picking an even numbered card or a male face card? 11) What s the probability of picking an even numbered card and then a male face card when you don t put your original card back? 12) What s the probability of picking an even numbered card and then a male face card when you put your original card back? Use the following: A certain game has a person draw a card from a regular deck of cards and roll a six-sided die. 13) If a player draws a prime numbered card or rolls a prime number they win. Find P(winning). 14) If a player draws a prime numbered card and rolls a prime number they win. Find P(winning).

4 15) Find P(red card and rolling even number) 16) Find P(non-face card or non-prime number) Use the following: A certain game has a spinner with 5 equal sectors (red, maroon, blue, white, black), and rolling a 12-sided die. 17) If a player spins a red, and rolls a prime number they win. Find P(winning). 18) If a player spins a red, rolls a prime number they win. Find P(losing). 19) If a player spins a red, or rolls a prime number they win. Find P(winning). 20) If a player spins a red, or rolls a prime number they win. Find P(losing). Solve: Algebra Review Solve: 4x + 8(-x + 1) = 8(1 + 4x) Write the equation of the line for the following graph. Factor Completely: Double Factor Factor Completely: Solve the system using elimination: -2x 6y = -10-6x 8y = 10

5 12.2 APPLICATION and EXTENSION 1) P(roll a 5 and picking an ace) = 2) P(roll a 5 or picking an ace) = 3) Bart is in some real trouble. He is at risk of repeating the 4 th grade (for the 20 th year in a row). Ms. Krabappel makes a deal and tells Bart that he can take a True/False test. She tells him that if he can get all ten questions correct that he ll pass. Of course Bart didn t study. What s the probability of him guessing all the answers correctly? (Hint: Is it get the first one right or the second one right or.) 4) Lisa is just five face-to-face Spell-Offs away from making it to the state spelling bee. She has a 90% chance of beating Ralph, a 95% chance in her second match, 80%, 84% and 86% chance on the rest. Bart claims she has a better chance of flipping a coin. Which has the higher chance of happening, Lisa winning all of his matches or flipping a coin? 5) Homer is getting scared of something horrific happening to him and dying so he goes to get life insurance. He decides that he ll most likely die from a lightning strike (1 in 130,000), plane crash (1 in 7000), car accident (1 in 98) or firework accident (1 in 650,000). What s his overall probability of dying from one of these? (Hint: Is there any overlap to subtract?) 6) Mr. Brust told the other Algebros that he was going to his yearly psychic reading. Sully and Kelly agreed that the psychic was going to see several things. They thought there was a good chance (80%) the psychic would mention a relative of Brust s who had died. They also thought the psychic may mention a big change in Brust s future (65%). a) What s the probability that the psychic mentioned both a relative and a big change? b) What s the probability that the psychic mentioned either a relative or a big change?

Lesson 15.5: Independent and Dependent Events

Lesson 15.5: Independent and Dependent Events Lesson 15.5: Independent and Dependent Events Sep 26 10:07 PM 1 Work with a partner. You have three marbles in a bag. There are two green marbles and one purple marble. Randomly draw a marble from the

More information

Section 7.3 and 7.4 Probability of Independent Events

Section 7.3 and 7.4 Probability of Independent Events Section 7.3 and 7.4 Probability of Independent Events Grade 7 Review Two or more events are independent when one event does not affect the outcome of the other event(s). For example, flipping a coin and

More information

Define and Diagram Outcomes (Subsets) of the Sample Space (Universal Set)

Define and Diagram Outcomes (Subsets) of the Sample Space (Universal Set) 12.3 and 12.4 Notes Geometry 1 Diagramming the Sample Space using Venn Diagrams A sample space represents all things that could occur for a given event. In set theory language this would be known as the

More information

Compound Probability. A to determine the likelihood of two events occurring at the. ***Events can be classified as independent or dependent events.

Compound Probability. A to determine the likelihood of two events occurring at the. ***Events can be classified as independent or dependent events. Probability 68B A to determine the likelihood of two events occurring at the. ***Events can be classified as independent or dependent events. Independent Events are events in which the result of event

More information

(a) Suppose you flip a coin and roll a die. Are the events obtain a head and roll a 5 dependent or independent events?

(a) Suppose you flip a coin and roll a die. Are the events obtain a head and roll a 5 dependent or independent events? Unit 6 Probability Name: Date: Hour: Multiplication Rule of Probability By the end of this lesson, you will be able to Understand Independence Use the Multiplication Rule for independent events Independent

More information

Data Collection Sheet

Data Collection Sheet Data Collection Sheet Name: Date: 1 Step Race Car Game Play 5 games where player 1 moves on roles of 1, 2, and 3 and player 2 moves on roles of 4, 5, # of times Player1 wins: 3. What is the theoretical

More information

Name: Class: Date: 6. An event occurs, on average, every 6 out of 17 times during a simulation. The experimental probability of this event is 11

Name: Class: Date: 6. An event occurs, on average, every 6 out of 17 times during a simulation. The experimental probability of this event is 11 Class: Date: Sample Mastery # Multiple Choice Identify the choice that best completes the statement or answers the question.. One repetition of an experiment is known as a(n) random variable expected value

More information

MATH STUDENT BOOK. 7th Grade Unit 6

MATH STUDENT BOOK. 7th Grade Unit 6 MATH STUDENT BOOK 7th Grade Unit 6 Unit 6 Probability and Graphing Math 706 Probability and Graphing Introduction 3 1. Probability 5 Theoretical Probability 5 Experimental Probability 13 Sample Space 20

More information

Name Date Class. Identify the sample space and the outcome shown for each experiment. 1. spinning a spinner

Name Date Class. Identify the sample space and the outcome shown for each experiment. 1. spinning a spinner Name Date Class 0.5 Practice B Experimental Probability Identify the sample space and the outcome shown for each experiment.. spinning a spinner 2. tossing two coins Write impossible, unlikely, as likely

More information

1. Theoretical probability is what should happen (based on math), while probability is what actually happens.

1. Theoretical probability is what should happen (based on math), while probability is what actually happens. Name: Date: / / QUIZ DAY! Fill-in-the-Blanks: 1. Theoretical probability is what should happen (based on math), while probability is what actually happens. 2. As the number of trials increase, the experimental

More information

Lesson Lesson 3.7 ~ Theoretical Probability

Lesson Lesson 3.7 ~ Theoretical Probability Theoretical Probability Lesson.7 EXPLORE! sum of two number cubes Step : Copy and complete the chart below. It shows the possible outcomes of one number cube across the top, and a second down the left

More information

When a number cube is rolled once, the possible numbers that could show face up are

When a number cube is rolled once, the possible numbers that could show face up are C3 Chapter 12 Understanding Probability Essential question: How can you describe the likelihood of an event? Example 1 Likelihood of an Event When a number cube is rolled once, the possible numbers that

More information

Chapter 10 Practice Test Probability

Chapter 10 Practice Test Probability Name: Class: Date: ID: A Chapter 0 Practice Test Probability Multiple Choice Identify the choice that best completes the statement or answers the question. Describe the likelihood of the event given its

More information

ABE/ASE Standards Mathematics

ABE/ASE Standards Mathematics [Lesson Title] TEACHER NAME PROGRAM NAME Program Information Playing the Odds [Unit Title] Data Analysis and Probability NRS EFL(s) 3 4 TIME FRAME 240 minutes (double lesson) ABE/ASE Standards Mathematics

More information

Instructions: Choose the best answer and shade the corresponding space on the answer sheet provide. Be sure to include your name and student numbers.

Instructions: Choose the best answer and shade the corresponding space on the answer sheet provide. Be sure to include your name and student numbers. Math 3201 Unit 3 Probability Assignment 1 Unit Assignment Name: Part 1 Selected Response: Instructions: Choose the best answer and shade the corresponding space on the answer sheet provide. Be sure to

More information

Find the probability of an event by using the definition of probability

Find the probability of an event by using the definition of probability LESSON 10-1 Probability Lesson Objectives Find the probability of an event by using the definition of probability Vocabulary experiment (p. 522) trial (p. 522) outcome (p. 522) sample space (p. 522) event

More information

1. a. Miki tosses a coin 50 times, and the coin shows heads 28 times. What fraction of the 50 tosses is heads? What percent is this?

1. a. Miki tosses a coin 50 times, and the coin shows heads 28 times. What fraction of the 50 tosses is heads? What percent is this? A C E Applications Connections Extensions Applications 1. a. Miki tosses a coin 50 times, and the coin shows heads 28 times. What fraction of the 50 tosses is heads? What percent is this? b. Suppose the

More information

Use this information to answer the following questions.

Use this information to answer the following questions. 1 Lisa drew a token out of the bag, recorded the result, and then put the token back into the bag. She did this 30 times and recorded the results in a bar graph. Use this information to answer the following

More information

Date. Probability. Chapter

Date. Probability. Chapter Date Probability Contests, lotteries, and games offer the chance to win just about anything. You can win a cup of coffee. Even better, you can win cars, houses, vacations, or millions of dollars. Games

More information

Section 7.1 Experiments, Sample Spaces, and Events

Section 7.1 Experiments, Sample Spaces, and Events Section 7.1 Experiments, Sample Spaces, and Events Experiments An experiment is an activity with observable results. 1. Which of the follow are experiments? (a) Going into a room and turning on a light.

More information

CONDITIONAL PROBABILITY Assignment

CONDITIONAL PROBABILITY Assignment State which the following events are independent and which are dependent.. Drawing a card from a standard deck of playing card and flipping a penny 2. Drawing two disks from an jar without replacement

More information

What s the Probability I Can Draw That? Janet Tomlinson & Kelly Edenfield

What s the Probability I Can Draw That? Janet Tomlinson & Kelly Edenfield What s the Probability I Can Draw That? Janet Tomlinson & Kelly Edenfield Engage Your Brain On your seat you should have found a list of 5 events and a number line on which to rate the probability of those

More information

Unit 14 Probability. Target 3 Calculate the probability of independent and dependent events (compound) AND/THEN statements

Unit 14 Probability. Target 3 Calculate the probability of independent and dependent events (compound) AND/THEN statements Target 1 Calculate the probability of an event Unit 14 Probability Target 2 Calculate a sample space 14.2a Tree Diagrams, Factorials, and Permutations 14.2b Combinations Target 3 Calculate the probability

More information

out one marble and then a second marble without replacing the first. What is the probability that both marbles will be white?

out one marble and then a second marble without replacing the first. What is the probability that both marbles will be white? Example: Leah places four white marbles and two black marbles in a bag She plans to draw out one marble and then a second marble without replacing the first What is the probability that both marbles will

More information

Most of the time we deal with theoretical probability. Experimental probability uses actual data that has been collected.

Most of the time we deal with theoretical probability. Experimental probability uses actual data that has been collected. AFM Unit 7 Day 3 Notes Theoretical vs. Experimental Probability Name Date Definitions: Experiment: process that gives a definite result Outcomes: results Sample space: set of all possible outcomes Event:

More information

Targets - Year 3. By the end of this year most children should be able to

Targets - Year 3. By the end of this year most children should be able to Targets - Year 3 By the end of this year most children should be able to Read and write numbers up to 1000 and put them in order. Know what each digit is worth. Count on or back in tens or hundreds from

More information

Lesson 16.1 Assignment

Lesson 16.1 Assignment Lesson 16.1 Assignment Name Date Rolling, Rolling, Rolling... Defining and Representing Probability 1. Rasheed is getting dressed in the dark. He reaches into his sock drawer to get a pair of socks. He

More information

Page 1 of 22. Website: Mobile:

Page 1 of 22. Website:    Mobile: Exercise 15.1 Question 1: Complete the following statements: (i) Probability of an event E + Probability of the event not E =. (ii) The probability of an event that cannot happen is. Such as event is called.

More information

Junior Circle Meeting 5 Probability. May 2, ii. In an actual experiment, can one get a different number of heads when flipping a coin 100 times?

Junior Circle Meeting 5 Probability. May 2, ii. In an actual experiment, can one get a different number of heads when flipping a coin 100 times? Junior Circle Meeting 5 Probability May 2, 2010 1. We have a standard coin with one side that we call heads (H) and one side that we call tails (T). a. Let s say that we flip this coin 100 times. i. How

More information

2 Event is equally likely to occur or not occur. When all outcomes are equally likely, the theoretical probability that an event A will occur is:

2 Event is equally likely to occur or not occur. When all outcomes are equally likely, the theoretical probability that an event A will occur is: 10.3 TEKS a.1, a.4 Define and Use Probability Before You determined the number of ways an event could occur. Now You will find the likelihood that an event will occur. Why? So you can find real-life geometric

More information

Outcomes: The outcomes of this experiment are yellow, blue, red and green.

Outcomes: The outcomes of this experiment are yellow, blue, red and green. (Adapted from http://www.mathgoodies.com/) 1. Sample Space The sample space of an experiment is the set of all possible outcomes of that experiment. The sum of the probabilities of the distinct outcomes

More information

Unit 7 Central Tendency and Probability

Unit 7 Central Tendency and Probability Name: Block: 7.1 Central Tendency 7.2 Introduction to Probability 7.3 Independent Events 7.4 Dependent Events 7.1 Central Tendency A central tendency is a central or value in a data set. We will look at

More information

MAT104: Fundamentals of Mathematics II Summary of Counting Techniques and Probability. Preliminary Concepts, Formulas, and Terminology

MAT104: Fundamentals of Mathematics II Summary of Counting Techniques and Probability. Preliminary Concepts, Formulas, and Terminology MAT104: Fundamentals of Mathematics II Summary of Counting Techniques and Probability Preliminary Concepts, Formulas, and Terminology Meanings of Basic Arithmetic Operations in Mathematics Addition: Generally

More information

WSMA Compound Probability Lesson 10. The combined likelihood of multiple events is called compound probability.

WSMA Compound Probability Lesson 10. The combined likelihood of multiple events is called compound probability. WSMA Compound Probability Lesson 0 Sometimes you need to know the probability of an event which is really the combination of various actions. It may be several dice rolls, or several cards selected from

More information

This unit will help you work out probability and use experimental probability and frequency trees. Key points

This unit will help you work out probability and use experimental probability and frequency trees. Key points Get started Probability This unit will help you work out probability and use experimental probability and frequency trees. AO Fluency check There are 0 marbles in a bag. 9 of the marbles are red, 7 are

More information

Chapter 1 - Set Theory

Chapter 1 - Set Theory Midterm review Math 3201 Name: Chapter 1 - Set Theory Part 1: Multiple Choice : 1) U = {hockey, basketball, golf, tennis, volleyball, soccer}. If B = {sports that use a ball}, which element would be in

More information

Probability of Independent and Dependent Events

Probability of Independent and Dependent Events 706 Practice A Probability of In and ependent Events ecide whether each set of events is or. Explain your answer.. A student spins a spinner and rolls a number cube.. A student picks a raffle ticket from

More information

Classical vs. Empirical Probability Activity

Classical vs. Empirical Probability Activity Name: Date: Hour : Classical vs. Empirical Probability Activity (100 Formative Points) For this activity, you will be taking part in 5 different probability experiments: Rolling dice, drawing cards, drawing

More information

Name: Probability, Part 1 March 4, 2013

Name: Probability, Part 1 March 4, 2013 1) Assuming all sections are equal in size, what is the probability of the spinner below stopping on a blue section? Write the probability as a fraction. 2) A bag contains 3 red marbles, 4 blue marbles,

More information

Probability: introduction

Probability: introduction May 6, 2009 Probability: introduction page 1 Probability: introduction Probability is the part of mathematics that deals with the chance or the likelihood that things will happen The probability of an

More information

saying the 5 times, 10 times or 2 times table Time your child doing various tasks, e.g.

saying the 5 times, 10 times or 2 times table Time your child doing various tasks, e.g. Can you tell the time? Whenever possible, ask your child to tell you the time to the nearest 5 minutes. Use a clock with hands as well as a digital watch or clock. Also ask: What time will it be one hour

More information

A 20% B 25% C 50% D 80% 2. Which spinner has a greater likelihood of landing on 5 rather than 3?

A 20% B 25% C 50% D 80% 2. Which spinner has a greater likelihood of landing on 5 rather than 3? 1. At a middle school, 1 of the students have a cell phone. If a student is chosen at 5 random, what is the probability the student does not have a cell phone? A 20% B 25% C 50% D 80% 2. Which spinner

More information

Foundations to Algebra In Class: Investigating Probability

Foundations to Algebra In Class: Investigating Probability Foundations to Algebra In Class: Investigating Probability Name Date How can I use probability to make predictions? Have you ever tried to predict which football team will win a big game? If so, you probably

More information

Algebra 2 Notes Section 10.1: Apply the Counting Principle and Permutations

Algebra 2 Notes Section 10.1: Apply the Counting Principle and Permutations Algebra 2 Notes Section 10.1: Apply the Counting Principle and Permutations Objective(s): Vocabulary: I. Fundamental Counting Principle: Two Events: Three or more Events: II. Permutation: (top of p. 684)

More information

Grade 8 Math Assignment: Probability

Grade 8 Math Assignment: Probability Grade 8 Math Assignment: Probability Part 1: Rock, Paper, Scissors - The Study of Chance Purpose An introduction of the basic information on probability and statistics Materials: Two sets of hands Paper

More information

COMPOUND EVENTS. Judo Math Inc.

COMPOUND EVENTS. Judo Math Inc. COMPOUND EVENTS Judo Math Inc. 7 th grade Statistics Discipline: Black Belt Training Order of Mastery: Compound Events 1. What are compound events? 2. Using organized Lists (7SP8) 3. Using tables (7SP8)

More information

Bell Work. Warm-Up Exercises. Two six-sided dice are rolled. Find the probability of each sum or 7

Bell Work. Warm-Up Exercises. Two six-sided dice are rolled. Find the probability of each sum or 7 Warm-Up Exercises Two six-sided dice are rolled. Find the probability of each sum. 1. 7 Bell Work 2. 5 or 7 3. You toss a coin 3 times. What is the probability of getting 3 heads? Warm-Up Notes Exercises

More information

Name: Period: Date: 7 th Pre-AP: Probability Review and Mini-Review for Exam

Name: Period: Date: 7 th Pre-AP: Probability Review and Mini-Review for Exam Name: Period: Date: 7 th Pre-AP: Probability Review and Mini-Review for Exam 4. Mrs. Bartilotta s mathematics class has 7 girls and 3 boys. She will randomly choose two students to do a problem in front

More information

Ch Probability Outcomes & Trials

Ch Probability Outcomes & Trials Learning Intentions: Ch. 10.2 Probability Outcomes & Trials Define the basic terms & concepts of probability. Find experimental probabilities. Calculate theoretical probabilities. Vocabulary: Trial: real-world

More information

1st Grade Math. Please complete the activity below for the day indicated. Day 1: Double Trouble. Day 2: Greatest Sum. Day 3: Make a Number

1st Grade Math. Please complete the activity below for the day indicated. Day 1: Double Trouble. Day 2: Greatest Sum. Day 3: Make a Number 1st Grade Math Please complete the activity below for the day indicated. Day 1: Double Trouble Day 2: Greatest Sum Day 3: Make a Number Day 4: Math Fact Road Day 5: Toy Store Double Trouble Paper 1 Die

More information

Making Predictions with Theoretical Probability. ESSENTIAL QUESTION How do you make predictions using theoretical probability?

Making Predictions with Theoretical Probability. ESSENTIAL QUESTION How do you make predictions using theoretical probability? L E S S O N 13.3 Making Predictions with Theoretical Probability 7.SP.3.6 predict the approximate relative frequency given the probability. Also 7.SP.3.7a ESSENTIAL QUESTION How do you make predictions

More information

Chapter 8: Probability: The Mathematics of Chance

Chapter 8: Probability: The Mathematics of Chance Chapter 8: Probability: The Mathematics of Chance Free-Response 1. A spinner with regions numbered 1 to 4 is spun and a coin is tossed. Both the number spun and whether the coin lands heads or tails is

More information

4.1 Sample Spaces and Events

4.1 Sample Spaces and Events 4.1 Sample Spaces and Events An experiment is an activity that has observable results. Examples: Tossing a coin, rolling dice, picking marbles out of a jar, etc. The result of an experiment is called an

More information

Conditional Probability Worksheet

Conditional Probability Worksheet Conditional Probability Worksheet EXAMPLE 4. Drug Testing and Conditional Probability Suppose that a company claims it has a test that is 95% effective in determining whether an athlete is using a steroid.

More information

Chapter 1: Sets and Probability

Chapter 1: Sets and Probability Chapter 1: Sets and Probability Section 1.3-1.5 Recap: Sample Spaces and Events An is an activity that has observable results. An is the result of an experiment. Example 1 Examples of experiments: Flipping

More information

Name: Exam 1. September 14, 2017

Name: Exam 1. September 14, 2017 Department of Mathematics University of Notre Dame Math 10120 Finite Math Fall 2017 Name: Instructors: Basit & Migliore Exam 1 September 14, 2017 This exam is in two parts on 9 pages and contains 14 problems

More information

Grade 7/8 Math Circles February 25/26, Probability

Grade 7/8 Math Circles February 25/26, Probability Faculty of Mathematics Waterloo, Ontario N2L 3G1 Probability Grade 7/8 Math Circles February 25/26, 2014 Probability Centre for Education in Mathematics and Computing Probability is the study of how likely

More information

Probability and the Monty Hall Problem Rong Huang January 10, 2016

Probability and the Monty Hall Problem Rong Huang January 10, 2016 Probability and the Monty Hall Problem Rong Huang January 10, 2016 Warm-up: There is a sequence of number: 1, 2, 4, 8, 16, 32, 64, How does this sequence work? How do you get the next number from the previous

More information

Math 1 Unit 4 Mid-Unit Review Chances of Winning

Math 1 Unit 4 Mid-Unit Review Chances of Winning Math 1 Unit 4 Mid-Unit Review Chances of Winning Name My child studied for the Unit 4 Mid-Unit Test. I am aware that tests are worth 40% of my child s grade. Parent Signature MM1D1 a. Apply the addition

More information

Key Concepts. Theoretical Probability. Terminology. Lesson 11-1

Key Concepts. Theoretical Probability. Terminology. Lesson 11-1 Key Concepts Theoretical Probability Lesson - Objective Teach students the terminology used in probability theory, and how to make calculations pertaining to experiments where all outcomes are equally

More information

Conditional Probability Worksheet

Conditional Probability Worksheet Conditional Probability Worksheet P( A and B) P(A B) = P( B) Exercises 3-6, compute the conditional probabilities P( AB) and P( B A ) 3. P A = 0.7, P B = 0.4, P A B = 0.25 4. P A = 0.45, P B = 0.8, P A

More information

Probability Essential Math 12 Mr. Morin

Probability Essential Math 12 Mr. Morin Probability Essential Math 12 Mr. Morin Name: Slot: Introduction Probability and Odds Single Event Probability and Odds Two and Multiple Event Experimental and Theoretical Probability Expected Value (Expected

More information

Making Predictions with Theoretical Probability

Making Predictions with Theoretical Probability ? LESSON 6.3 Making Predictions with Theoretical Probability ESSENTIAL QUESTION Proportionality 7.6.H Solve problems using qualitative and quantitative predictions and comparisons from simple experiments.

More information

Probability Warm-Up 2

Probability Warm-Up 2 Probability Warm-Up 2 Directions Solve to the best of your ability. (1) Write out the sample space (all possible outcomes) for the following situation: A dice is rolled and then a color is chosen, blue

More information

A. 15 B. 24 C. 45 D. 54

A. 15 B. 24 C. 45 D. 54 A spinner is divided into 8 equal sections. Lara spins the spinner 120 times. It lands on purple 30 times. How many more times does Lara need to spin the spinner and have it land on purple for the relative

More information

Lesson 3: Chance Experiments with Equally Likely Outcomes

Lesson 3: Chance Experiments with Equally Likely Outcomes Lesson : Chance Experiments with Equally Likely Outcomes Classwork Example 1 Jamal, a 7 th grader, wants to design a game that involves tossing paper cups. Jamal tosses a paper cup five times and records

More information

Name: Class: Date: ID: A

Name: Class: Date: ID: A Class: Date: Chapter 0 review. A lunch menu consists of different kinds of sandwiches, different kinds of soup, and 6 different drinks. How many choices are there for ordering a sandwich, a bowl of soup,

More information

Answer each of the following problems. Make sure to show your work.

Answer each of the following problems. Make sure to show your work. Answer each of the following problems. Make sure to show your work. 1. A board game requires each player to roll a die. The player with the highest number wins. If a player wants to calculate his or her

More information

April 10, ex) Draw a tree diagram of this situation.

April 10, ex) Draw a tree diagram of this situation. April 10, 2014 12-1 Fundamental Counting Principle & Multiplying Probabilities 1. Outcome - the result of a single trial. 2. Sample Space - the set of all possible outcomes 3. Independent Events - when

More information

MATH-8 SOL8.12 Probability CW Exam not valid for Paper Pencil Test Sessions

MATH-8 SOL8.12 Probability CW Exam not valid for Paper Pencil Test Sessions MTH- SOL. Probability W Exam not valid for Paper Pencil Test Sessions [Exam I:NFP0 box contains five cards lettered,,,,. If one card is selected at random from the box and NOT replaced, what is the probability

More information

Chapter 3: PROBABILITY

Chapter 3: PROBABILITY Chapter 3 Math 3201 1 3.1 Exploring Probability: P(event) = Chapter 3: PROBABILITY number of outcomes favourable to the event total number of outcomes in the sample space An event is any collection of

More information

Here are two situations involving chance:

Here are two situations involving chance: Obstacle Courses 1. Introduction. Here are two situations involving chance: (i) Someone rolls a die three times. (People usually roll dice in pairs, so dice is more common than die, the singular form.)

More information

Unit 11 Probability. Round 1 Round 2 Round 3 Round 4

Unit 11 Probability. Round 1 Round 2 Round 3 Round 4 Study Notes 11.1 Intro to Probability Unit 11 Probability Many events can t be predicted with total certainty. The best thing we can do is say how likely they are to happen, using the idea of probability.

More information

Probability Paradoxes

Probability Paradoxes Probability Paradoxes Washington University Math Circle February 20, 2011 1 Introduction We re all familiar with the idea of probability, even if we haven t studied it. That is what makes probability so

More information

Probability --QUESTIONS-- Principles of Math 12 - Probability Practice Exam 1

Probability --QUESTIONS-- Principles of Math 12 - Probability Practice Exam 1 Probability --QUESTIONS-- Principles of Math - Probability Practice Exam www.math.com Principles of Math : Probability Practice Exam Use this sheet to record your answers:... 4... 4... 4.. 6. 4.. 6. 7..

More information

Lesson 11.3 Independent Events

Lesson 11.3 Independent Events Lesson 11.3 Independent Events Draw a tree diagram to represent each situation. 1. Popping a balloon randomly from a centerpiece consisting of 1 black balloon and 1 white balloon, followed by tossing a

More information

LC OL Probability. ARNMaths.weebly.com. As part of Leaving Certificate Ordinary Level Math you should be able to complete the following.

LC OL Probability. ARNMaths.weebly.com. As part of Leaving Certificate Ordinary Level Math you should be able to complete the following. A Ryan LC OL Probability ARNMaths.weebly.com Learning Outcomes As part of Leaving Certificate Ordinary Level Math you should be able to complete the following. Counting List outcomes of an experiment Apply

More information

Probability Simulation User s Manual

Probability Simulation User s Manual Probability Simulation User s Manual Documentation of features and usage for Probability Simulation Copyright 2000 Corey Taylor and Rusty Wagner 1 Table of Contents 1. General Setup 3 2. Coin Section 4

More information

Fair Game Review. Chapter 9. Simplify the fraction

Fair Game Review. Chapter 9. Simplify the fraction Name Date Chapter 9 Simplify the fraction. 1. 10 12 Fair Game Review 2. 36 72 3. 14 28 4. 18 26 5. 32 48 6. 65 91 7. There are 90 students involved in the mentoring program. Of these students, 60 are girls.

More information

Mathematics 3201 Test (Unit 3) Probability FORMULAES

Mathematics 3201 Test (Unit 3) Probability FORMULAES Mathematics 3201 Test (Unit 3) robability Name: FORMULAES ( ) A B A A B A B ( A) ( B) ( A B) ( A and B) ( A) ( B) art A : lace the letter corresponding to the correct answer to each of the following in

More information

Answer each of the following problems. Make sure to show your work.

Answer each of the following problems. Make sure to show your work. Answer each of the following problems. Make sure to show your work. 1. A board game requires each player to roll a die. The player with the highest number wins. If a player wants to calculate his or her

More information

2016 Confessions of an Empty Cubicle

2016 Confessions of an Empty Cubicle Goals of Session Provide workstation ideas and activities for place value, number operations, and algebraic reasoning that can easily be incorporated into classrooms Meet the needs of ALL students while

More information

Functional Skills Mathematics

Functional Skills Mathematics Functional Skills Mathematics Level Learning Resource Probability D/L. Contents Independent Events D/L. Page - Combined Events D/L. Page - 9 West Nottinghamshire College D/L. Information Independent Events

More information

Chapter 4: Probability

Chapter 4: Probability Student Outcomes for this Chapter Section 4.1: Contingency Tables Students will be able to: Relate Venn diagrams and contingency tables Calculate percentages from a contingency table Calculate and empirical

More information

Roll & Make. Represent It a Different Way. Show Your Number as a Number Bond. Show Your Number on a Number Line. Show Your Number as a Strip Diagram

Roll & Make. Represent It a Different Way. Show Your Number as a Number Bond. Show Your Number on a Number Line. Show Your Number as a Strip Diagram Roll & Make My In Picture Form In Word Form In Expanded Form With Money Represent It a Different Way Make a Comparison Statement with a Greater than Your Make a Comparison Statement with a Less than Your

More information

8: Determine the number of integral values that a side of a triangle can have if the other two sides are 3 and 10. A) 7 B) 5 C) 4 D) 3 E) NOTA

8: Determine the number of integral values that a side of a triangle can have if the other two sides are 3 and 10. A) 7 B) 5 C) 4 D) 3 E) NOTA Skyview Invitation Games for Mathematical Achievement - 00 INDIVIDUAL TEST Directions: Multiple Choice. Choose the BEST answer. You will have 0 minutes for questions. 1: A 0 ft rope is cut into equal pieces.

More information

Essential Question How can you list the possible outcomes in the sample space of an experiment?

Essential Question How can you list the possible outcomes in the sample space of an experiment? . TEXAS ESSENTIAL KNOWLEDGE AND SKILLS G..B Sample Spaces and Probability Essential Question How can you list the possible outcomes in the sample space of an experiment? The sample space of an experiment

More information

CPM Educational Program

CPM Educational Program CC COURSE 2 ETOOLS Table of Contents General etools... 5 Algebra Tiles (CPM)... 6 Pattern Tile & Dot Tool (CPM)... 9 Area and Perimeter (CPM)...11 Base Ten Blocks (CPM)...14 +/- Tiles & Number Lines (CPM)...16

More information

Probability. March 06, J. Boulton MDM 4U1. P(A) = n(a) n(s) Introductory Probability

Probability. March 06, J. Boulton MDM 4U1. P(A) = n(a) n(s) Introductory Probability Most people think they understand odds and probability. Do you? Decision 1: Pick a card Decision 2: Switch or don't Outcomes: Make a tree diagram Do you think you understand probability? Probability Write

More information

Chapter 13 Test Review

Chapter 13 Test Review 1. The tree diagrams below show the sample space of choosing a cushion cover or a bedspread in silk or in cotton in red, orange, or green. Write the number of possible outcomes. A 6 B 10 C 12 D 4 Find

More information

NAME DATE PERIOD. Study Guide and Intervention

NAME DATE PERIOD. Study Guide and Intervention 9-1 Section Title The probability of a simple event is a ratio that compares the number of favorable outcomes to the number of possible outcomes. Outcomes occur at random if each outcome occurs by chance.

More information

Empirical (or statistical) probability) is based on. The empirical probability of an event E is the frequency of event E.

Empirical (or statistical) probability) is based on. The empirical probability of an event E is the frequency of event E. Probability and Statistics Chapter 3 Notes Section 3-1 I. Probability Experiments. A. When weather forecasters say There is a 90% chance of rain tomorrow, or a doctor says There is a 35% chance of a successful

More information

Ex 1: A coin is flipped. Heads, you win $1. Tails, you lose $1. What is the expected value of this game?

Ex 1: A coin is flipped. Heads, you win $1. Tails, you lose $1. What is the expected value of this game? AFM Unit 7 Day 5 Notes Expected Value and Fairness Name Date Expected Value: the weighted average of possible values of a random variable, with weights given by their respective theoretical probabilities.

More information

Part 1: I can express probability as a fraction, decimal, and percent

Part 1: I can express probability as a fraction, decimal, and percent Name: Pattern: Part 1: I can express probability as a fraction, decimal, and percent For #1 to #4, state the probability of each outcome. Write each answer as a) a fraction b) a decimal c) a percent Example:

More information

North Seattle Community College Winter ELEMENTARY STATISTICS 2617 MATH Section 05, Practice Questions for Test 2 Chapter 3 and 4

North Seattle Community College Winter ELEMENTARY STATISTICS 2617 MATH Section 05, Practice Questions for Test 2 Chapter 3 and 4 North Seattle Community College Winter 2012 ELEMENTARY STATISTICS 2617 MATH 109 - Section 05, Practice Questions for Test 2 Chapter 3 and 4 1. Classify each statement as an example of empirical probability,

More information

Unit 1 Day 1: Sample Spaces and Subsets. Define: Sample Space. Define: Intersection of two sets (A B) Define: Union of two sets (A B)

Unit 1 Day 1: Sample Spaces and Subsets. Define: Sample Space. Define: Intersection of two sets (A B) Define: Union of two sets (A B) Unit 1 Day 1: Sample Spaces and Subsets Students will be able to (SWBAT) describe events as subsets of sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions,

More information

UNIT 5: RATIO, PROPORTION, AND PERCENT WEEK 20: Student Packet

UNIT 5: RATIO, PROPORTION, AND PERCENT WEEK 20: Student Packet Name Period Date UNIT 5: RATIO, PROPORTION, AND PERCENT WEEK 20: Student Packet 20.1 Solving Proportions 1 Add, subtract, multiply, and divide rational numbers. Use rates and proportions to solve problems.

More information

Probability - Chapter 4

Probability - Chapter 4 Probability - Chapter 4 In this chapter, you will learn about probability its meaning, how it is computed, and how to evaluate it in terms of the likelihood of an event actually happening. A cynical person

More information

PRE TEST. Math in a Cultural Context*

PRE TEST. Math in a Cultural Context* P grade PRE TEST Salmon Fishing: Investigations into A 6P th module in the Math in a Cultural Context* UNIVERSITY OF ALASKA FAIRBANKS Student Name: Grade: Teacher: School: Location of School: Date: *This

More information

12.1 Practice A. Name Date. In Exercises 1 and 2, find the number of possible outcomes in the sample space. Then list the possible outcomes.

12.1 Practice A. Name Date. In Exercises 1 and 2, find the number of possible outcomes in the sample space. Then list the possible outcomes. Name Date 12.1 Practice A In Exercises 1 and 2, find the number of possible outcomes in the sample space. Then list the possible outcomes. 1. You flip three coins. 2. A clown has three purple balloons

More information